Search a number
-
+
11403990 = 235513192
BaseRepresentation
bin101011100000…
…001011010110
3210110101100000
4223200023112
510404411430
61044232130
7165634533
oct53401326
923411300
1011403990
116489a94
12399b646
132493930
14172bd8a
151003e60
hexae02d6

11403990 has 144 divisors (see below), whose sum is σ = 34948368. Its totient is φ = 2659392.

The previous prime is 11403967. The next prime is 11404007. The reversal of 11403990 is 9930411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 600201 + ... + 600219.

It is an arithmetic number, because the mean of its divisors is an integer number (242697).

Almost surely, 211403990 is an apocalyptic number.

11403990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11403990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474184).

11403990 is an abundant number, since it is smaller than the sum of its proper divisors (23544378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11403990 is a wasteful number, since it uses less digits than its factorization.

11403990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11403990 is about 3376.9794195405. The cubic root of 11403990 is about 225.0879656046.

The spelling of 11403990 in words is "eleven million, four hundred three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 81 90 95 114 117 130 135 162 171 190 195 234 243 247 270 285 342 351 361 390 405 486 494 513 570 585 702 722 741 810 855 1026 1053 1083 1170 1215 1235 1482 1539 1710 1755 1805 2106 2166 2223 2430 2470 2565 3078 3159 3249 3510 3610 3705 4446 4617 4693 5130 5265 5415 6318 6498 6669 7410 7695 9234 9386 9747 10530 10830 11115 13338 14079 15390 15795 16245 19494 20007 22230 23085 23465 28158 29241 31590 32490 33345 40014 42237 46170 46930 48735 58482 60021 66690 70395 84474 87723 97470 100035 120042 126711 140790 146205 175446 200070 211185 253422 292410 300105 380133 422370 438615 600210 633555 760266 877230 1140399 1267110 1900665 2280798 3801330 5701995 11403990